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Finding the Fourth Proportional to 3,105.20, 4,199.70 and 3,105.20

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Solution

The fourth proportional to 3,105.20, 4,199.70 and 3,105.20 is: 4,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.20 : 4,199.70 = 3,105.20 : x
  2. Step 2: Convert to fraction form
    3,105.20/4,199.70 = 3,105.20/x
  3. Step 3: Cross multiply
    3,105.20x = 4,199.70 × 3,105.20
  4. Step 4: Simplify right side
    3,105.20x = 13,040,908.44
  5. Step 5: Solve for x
    x = 13,040,908.44/3,105.20
  6. Step 6: Final answer
    x = 4,199.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.